1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
konstantin123 [22]
3 years ago
9

A professor wants to award prizes for 1st, 2nd, 3rd, 4th and 5th in the class of 30. In how many ways can the prizes be awarded

(assume no two students tie)
Mathematics
1 answer:
aniked [119]3 years ago
8 0

Answer:

Selection =  17100720\ ways

Step-by-step explanation:

Given

Students = 30

Positions = 5 i.e. first to fifth

Required

Determine number of selection

1st position = Any of the 30 students

2nd position = Any of the 29 students

3rd position = Any of the 28 students

4th position = Any of the 27 students

5th position = Any of the 26 students

Number of selection is then calculated as:

Selection =  30 * 29 * 28 * 27 * 26

Selection =  17100720\ ways

You might be interested in
<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20%2B11x%2B2%3D0" id="TexFormula1" title="5x^{2} +11x+2=0" alt="5x^{2} +11x+2=0"
eimsori [14]

The solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the solution to the quadratic equation?</h3>

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, the quadratic equation is given as

5x^2 + 11x + 2 = 0

Using the form of the quadratic equation y = ax^2 + bx + c, we have

a = 5, b = 11 and c = 2

The quadratic equation can be solved using the following formula

x = (-b ± √(b^2 - 4ac))/2a

Substitute the known values of a, b and c in the above equation

x = (-11 ± √(11^2 - 4 * 5 * 2))/2*2

Evaluate the exponent

x = (-11 ± √(121 - 4 * 5 * 2))/2*2

Evaluate the products

x = (-11 ± √(121 - 40))/4

Evaluate the sum

x = (-11 ± √(81))/4

Take the square root of 81

x = (-11 ± 9)/4

Expand

x = 1/4 * (-11 + 9) or x = 1/4 * (-11 - 9)

Evaluate the difference

x = 1/4 * -2 or x = 1/4 * -20

Evaluate the product

x = -1/2 or x = -5

Hence, the solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

4 0
2 years ago
Mr. Alvarez has 36 kids in his 7th period class The ratio of boys to girls is 5:7. How many boys are there? How many girls are t
Eddi Din [679]

Answer: 15 boys

Explanation: ratio 5:7

5 + 7 = 12

Number of boys = 5/12 × 36

4 0
3 years ago
Explain how you can use place value patterns to describe how 50 and 5000 compare
salantis [7]
The place value pattern is a system of patterns of tens in which every place value is ten times the value on its right. The place value pattern system is used to <span>write numbers that are 10 times as much as or 1/10 of any given number. 
The place values in the pattern are: ones, tens (10*ones), hundreds (10*tens), thousands (10*hundreds),...
So, 50 = 5 tens 
       5000= 5 thousands, 0 hundreds, 0 tens, 0 ones

So, 5000 > 50</span>
3 0
3 years ago
What is a single equivalent percentage change for a 40% decrease followed by a 20% decrease
Firlakuza [10]

Answer:

200

Step-by-step explanation:

8 0
3 years ago
Options are increase/decrease
Doss [256]
I think it’s increase of 4%
5 0
3 years ago
Other questions:
  • Solve the proportion
    8·1 answer
  • A customer service representative earns 13 an hour and he works 52 hours a week what is his weekly wage
    6·2 answers
  • Suppose that your net income for the month is 1500 and that your total expenses are 2500 which statement is accurate?
    8·2 answers
  • You have a part-time job. You work for 3 hours on Friday and 6 hours on Saturday. You also receive an allowance of $20 per week.
    15·2 answers
  • Circle O has a circumference of approximately 44 in.
    13·2 answers
  • The figure shown below is a rhombus. Give the angle value (numerical, not the letters.
    9·2 answers
  • No links please the trollers keep wasting my points :(
    10·1 answer
  • Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand
    5·1 answer
  • 160.1/2 ÷ 70.1/3<br>I Mark brainlies ​
    12·1 answer
  • Quentin and Micheal are on a bowling team. Below are their bowling scores.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!